Find the 1000th term in the following sequence: 2, 6, 10, 14,

Step-by-step explanation:  

This is an arithmetic sequence since there is a common difference between each term. In this case, adding  

4

to the previous term in the sequence gives the next term. In other words,  

a

n

=

a

1

+

d

(

n

−

1

)

.

Arithmetic Sequence:  

d

=

4

This is the formula of an arithmetic sequence.

a

n

=

a

1

+

d

(

n

−

1

)

Substitute in the values of  

a

1

=

2

and  

d

=

4

.

a

n

=

2

+

(

4

)

(

n

−

1

)

Simplify each term.

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a

n

=

2

+

4

n

−

4

Subtract  

4

from  

2

.

a

n

=

4

n

−

2

∠cbe and ∠deb are same-side interior angles.

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step-by-step explanation: